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Author van Veenendaal, M. ♦ Carra, P. ♦ Thole, B. T.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ RARE EARTH COMPOUNDS ♦ X-RAY SPECTRA ♦ RESONANCE SCATTERING ♦ RAMAN EFFECT ♦ SCATTERING AMPLITUDES ♦ CROSS SECTIONS ♦ POLARIZATION
Abstract This paper develops a theory of resonant Raman scattering within the framework of a localized model. Expressions for the scattering amplitude and cross section are derived by employing the methods of spherical-tensor analysis; a simple factorization is obtained for the geometrical (angular dependence) and electronic (matrix element) components, which can therefore be studied independently. Photon polarization effects are examined. It is shown that, for fast collisions, the integrated intensity is expressible by way of spin and orbital effective operators, thus allowing for a simple interpretation of the scattering process. For the 2{ital p}{r_arrow}4{ital f}, 3{ital d}{r_arrow}2{ital p} resonance in Gd{sup 3+}, Dy{sup 3+}, Ho{sup 3+}, and Er{sup 3+}, numerical calculations of the cross section are discussed. In the case gadolinium, the agreement between calculations and experiments provides further evidence for the quadrupolar nature of certain spectral features. {copyright} {ital 1996 The American Physical Society.}
ISSN 01631829
Educational Use Research
Learning Resource Type Article
Publisher Date 1996-12-01
Publisher Place United States
Journal Physical Review, B: Condensed Matter
Volume Number 54
Issue Number 22


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